I'm not sure how to solve this problem so it would help of someone explained how to do this in steps.So far I have: k(x)=g(f(h(x)))g(f(h(x)))=g(f(-x+3))...but now I'm stuck since f(x) doesn't actually have an equation...only some points.

I'm not sure how to solve this problem so it would help of someone explained how to do this in steps.

You can get an "in steps" explanation in here. It shows how to work with "only some points", too! You've gotten to "k(5) = g(f(h(5)))". Now start plugging in. When x = 5, what is h(x)? That number is your new "x". Plug that into f(x). Looking at the graph, when x = (whatever h(5) is), what is f(x)? And so forth.